Sums of Integers, Squares & Cubes (Edexcel A-Level Further Mathematics): Quizzes

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Sums of Integers, Squares & Cubes
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What is the formula for r=1nr\sum_{r=1}^n r?

n(n+1)2\frac{n(n+1)}{2}

What is the formula for r=1nr2\sum_{r=1}^n r^2?

n(n+1)(2n+1)6\frac{n(n+1)(2n+1)}{6}

What is the formula for r=1nr3\sum_{r=1}^n r^3?

[n(n+1)2]2\left[\frac{n(n+1)}{2}\right]^2

What is the value of r=110r2\sum_{r=1}^{10} r^2?

385385

What is the value of r=18r\sum_{r=1}^8 r?

3636

What is the value of r=15r3\sum_{r=1}^5 r^3?

225225

How should r=18(r+r2)\sum_{r=1}^8 (r + r^2) be broken into parts?

r=18r+r=18r2\sum_{r=1}^8 r + \sum_{r=1}^8 r^2

What is the value of r=18(r+r2)\sum_{r=1}^8 (r + r^2)?

240240

How should r=15(2r3+3r)\sum_{r=1}^{5} (2r^3 + 3r) be split?

2r=15r3+3r=15r2\sum_{r=1}^{5} r^3 + 3\sum_{r=1}^{5} r

What is the value of r=15(2r3+3r)\sum_{r=1}^{5} (2r^3 + 3r)?

495495

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